AbstractThe sum of the first κ singular values of an n-square complex matrix is a norm, 1 ⩽ κ ⩽ n. In this paper all isometries of the algebra of n-square complex matrices which preserve this norm are determined. For κ = 1 and κ = n the result specializes to earlier work of Morita and Russo, respectively
AbstractThis paper discusses the structure of rectangular matrices with minimum p-norm condition num...
AbstractBoth of the following conditions are equivalent to the absoluteness of a norm ν in Cn: (1) f...
Abstract. Every norm on Cn induces two norm numerical ranges on the algebra Mn of all n n complex ...
AbstractThe sum of the first κ singular values of an n-square complex matrix is a norm, 1 ⩽ κ ⩽ n. I...
AbstractIf s1(A) ⩾ ⋯ ⩾ sm(A) are the singular values of A ϵ Mm,n(C), and if 1 ⩽k ⩽m ⩽ and p ⩾ 1, the...
AbstractLet Fm×n (m⩽n) denote the linear space of all m × n complex or real matrices according as F=...
AbstractLet Fm×n (m⩽n) denote the linear space of all m × n complex or real matrices according as F=...
Let Fm×n (m≤n) denote the linear space of all m × n complex or real matrices according as F=C or R. ...
AbstractA survey of linear isometries for unitarily invariant norms on real or complex rectangular m...
A survey of linear isometries for unitarily invariant norms on real or complex rectangular matrices ...
As an attempt to understand linear isometries between C-algebras without the surjectivity assumption...
AbstractAny complex n × n matrix A satisfies the inequality‖ A ‖ 1 ≤ n 12 ‖ A ‖dwhere ∥.∥1 is the tr...
AbstractLet Fn be the linear space of column vectors with n coordinates over F = R or C. Denote by G...
Abstract. We define the discrete norm of a complex m × n matrix A by ‖A‖ ∆: = ma
AbstractLet Rn be the linear space of all real column vectors with n coordinates. Given x=(x1,…,xn)t...
AbstractThis paper discusses the structure of rectangular matrices with minimum p-norm condition num...
AbstractBoth of the following conditions are equivalent to the absoluteness of a norm ν in Cn: (1) f...
Abstract. Every norm on Cn induces two norm numerical ranges on the algebra Mn of all n n complex ...
AbstractThe sum of the first κ singular values of an n-square complex matrix is a norm, 1 ⩽ κ ⩽ n. I...
AbstractIf s1(A) ⩾ ⋯ ⩾ sm(A) are the singular values of A ϵ Mm,n(C), and if 1 ⩽k ⩽m ⩽ and p ⩾ 1, the...
AbstractLet Fm×n (m⩽n) denote the linear space of all m × n complex or real matrices according as F=...
AbstractLet Fm×n (m⩽n) denote the linear space of all m × n complex or real matrices according as F=...
Let Fm×n (m≤n) denote the linear space of all m × n complex or real matrices according as F=C or R. ...
AbstractA survey of linear isometries for unitarily invariant norms on real or complex rectangular m...
A survey of linear isometries for unitarily invariant norms on real or complex rectangular matrices ...
As an attempt to understand linear isometries between C-algebras without the surjectivity assumption...
AbstractAny complex n × n matrix A satisfies the inequality‖ A ‖ 1 ≤ n 12 ‖ A ‖dwhere ∥.∥1 is the tr...
AbstractLet Fn be the linear space of column vectors with n coordinates over F = R or C. Denote by G...
Abstract. We define the discrete norm of a complex m × n matrix A by ‖A‖ ∆: = ma
AbstractLet Rn be the linear space of all real column vectors with n coordinates. Given x=(x1,…,xn)t...
AbstractThis paper discusses the structure of rectangular matrices with minimum p-norm condition num...
AbstractBoth of the following conditions are equivalent to the absoluteness of a norm ν in Cn: (1) f...
Abstract. Every norm on Cn induces two norm numerical ranges on the algebra Mn of all n n complex ...
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